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Finding the Third Proportional to 3,810,074.63 and 5,431,314.94

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Solution

The third proportional to 3,810,074.63 and 5,431,314.94 is: 7,742,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,074.63 : 5,431,314.94 = 5,431,314.94 : x
  2. Step 2: Convert to fraction form
    3,810,074.63/5,431,314.94 = 5,431,314.94/x
  3. Step 3: Cross multiply
    3,810,074.63x = 5,431,314.94 × 5,431,314.94
  4. Step 4: Simplify right side
    3,810,074.63x = 29,499,181,950,310.63
  5. Step 5: Solve for x
    x = 29,499,181,950,310.63/3,810,074.63
  6. Step 6: Final answer
    x = 7,742,415.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.